Chapter 7.1, Problem 4WE

To determine

The value of given ratio.

Answer to Problem 4WE

The simplest form is $m\angle B:m\angle C=5:1$

Explanation of Solution

Given information:

The ratio $m\angle C:m\angle D$ given in the figure,

  

For the given figure, the given angles are $m\angle B={150}^{°}amdm\angle C={30}^{°}$

Now, to write a fraction in simplest form we divide the numerator and denominator with the greatest common divisor.

Therefore, in simplest form it can be written as

  $\begin{array}{c}\frac{m\angle B}{m\angle C}=\frac{{150}^{°}}{{30}^{°}}\\ =\frac{5\times {30}^{°}}{{30}^{°}}\\ =\frac{5}{1}\end{array}$

So,

  $m\angle B:m\angle C=5:1$